Thirty plus the quotient of a number and two N = A Number (writting algebraic expression)

Answers

Answer 1
Answer: 30+n/2
You are dividing n by 2, then adding by 30

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A cooler holds 20 cups of water. There are 12 3/4 cups of water in the cooler. Can the cooler hold an additional 6 5/6 cups of water?Explain

Answers

Answer:

Yes, because there is enough water in the cooler for about 81 cups total.

Step-by-step explanation:

You are welcome!

Yes. Since 12 3/4 cups can be rounded up to 13 and 6 5/6 can be rounded up to seven, and 13+7 equals 20, so you would be able to put the additional amount if cups into the cooler.

A bakery used 25% more butter this month that the last month.If the bakery used 240 kilograms of butter last month,how much did it use this month?

Answers

Answer:

This month the bakery used 300 kilograms of butter.

Step-by-step explanation:

The amount of butter used last month =  240 kilograms

The amount of butter extra used this month = 25%

Now, 25 % of 240 kg = (25)/(100)  * 240  = (1)/(4)   * 240

= 60 kilograms

The extra butter used this month =  60 kg

So,the total butter used this month = 240 kg + 60 kg = 300 kilograms

Hence, this month the bakery used 300 kilograms of butter.

Find the measure of angle U

Answers

Answer:

30 degrees

Step-by-step explanation:

first you have to find angle TSU which is 70 degrees

you get this my doing 180 - 110

then you add up all the angles in the triangle

so, 80 plus 70

you get 150

then you do 180 - 150 and get 30 degrees

20 pointsWhat is the slope of the line that passes through (-2,7) and (4,9)

A slope=-1/3
B slope=1/3
C slope=3

Answers

Answer:

1/3

Step-by-step explanation:

Slope = ( y₂ - y₁ ) ÷ ( x₂ - x₁ )

y₂ = 9

y₁ = 7

x₂ = 4

x₁ = -2

y₂ - y₁ = 9 - 7 = 2

x₂ - x₁ = 4 - -2 = 6

2 ÷ 6 = 1/3

If you answer ALL questions listed, you get a good amount of points (3 questions, 5 points each, 15 points total) :D



1) Which pair are solutions to the equation?

4xy + 8 = 36

A.
(7, 1) and (3, 2)

B.
(1, 7) and (7, 1)

C.
(1, 7) and (4, 9)

D.
(4, 9) and (3, 2)

2)
Which of the ordered pairs in the form (x, y) is a solution of this equation?

5x - y over 3 = 13,
(2, -9) (3, -6)

A.
The first is not a solution, but the second is.

B.

Both are solutions.

C.

The first is a solution, but the second is not.

D.

Neither is a solution.

3)
Which ordered pairs in the form (x, y) are solutions to the equation

7x – 5y = 28?



Choose all answers that are correct.

A.

(−6, −14)

B.

(−1, −7)

C.

(4, 10)

D.

(7, 9

Answers

1)

4xy+8=36\n4xy=28\nxy=7

We know that each coordinate (x,y) must therefore multiply to equal 7. The only numbers that multiply to 7 are 7 and 1, so B) is the correct answer.



2)

For this one, just plug in the coordinates they give you for x and y and see if either one works:

5x-(y)/(3)=13\ \ \ \ \ \ \ (2,-9)\n5(2)-((-9))/(3)=13\n10-(-3)=13\n13=13

So the first one is a solution. Now plug in the second one:

5x-(y)/(3)=13\ \ \ \ \ \ (3,-6)\n5(3)-((-6))/(3)=13\n15-(-2)=13\n17=13

Therefore, the first is a solution and the second isn't making C) the correct answer.



3)

For this one, just plug in the ordered pairs they give you and see which ones end up working:

7x-5y=28\n\nA. (-6,-14)\n7(-6)-5(-14)=28\n-42+70=28\n28=28\n\nB.(-1,-7)\n7(-1)-5(-7)=28\n-7+35=28\n28=28\n\nC.(4,10)\n7(4)-5(10)=28\n28-50=28\n-22=28\n\nD.(7,9)\n7(7)-5(9)=28\n49-45=28\n4=28

A) and B) are the only ones that work out, so those are the correct answers.

1.  4xy+8=36

   4xy=28

   xy=7


2. 5(2)-(-9)/3=13

    10-(-3)=13

     13=13

     5(3)-(-6)/3=13

     15-(-2)=13

     17≠13


3. 7(-6)-5(-14)=28

   -42+70=28

     28=28


    7(-1)-5(-7)=28

    -7+35=28

      28=28

     

   7(4)-5(19)=28

   28-50=28

    -22≠28


  7(7)-5(9)=28

  49-45=28

    4≠28

Hope this helps... :)

Jane made a poster that had a length of 1 2/3 feet and a width 5/6 of feet. What is the perimeter of her poster?

Answers

Answer:

5 feet

Step-by-step explanation:

1 4/6 + 1 4/6 + 5/6 + 5/6

2 + 18/6

5

Answer:

5 feet

Step-by-step explanation:

1 4/6 + 1 4/6 + 5/6 + 5/6

2 + 18/6

5

Step-by-step explanation: